Search a number
-
+
34035644250 = 23253139108827
BaseRepresentation
bin11111101100101011…
…101011011101011010
310020212000001212112200
4133230223223131122
51024201111104000
623345153551030
72313302126346
oct375453533532
9106760055480
1034035644250
1113486263313
12671a575476
1332954b688a
14190c3da626
15d43090500
hex7ecaeb75a

34035644250 has 96 divisors (see below), whose sum is σ = 92695337280. Its totient is φ = 9010792800.

The previous prime is 34035644239. The next prime is 34035644263. The reversal of 34035644250 is 5244653043.

34035644250 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 5 + 644 + 2 + 5 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258337 + ... + 367163.

It is an arithmetic number, because the mean of its divisors is an integer number (965576430).

Almost surely, 234035644250 is an apocalyptic number.

34035644250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34035644250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46347668640).

34035644250 is an abundant number, since it is smaller than the sum of its proper divisors (58659693030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34035644250 is a wasteful number, since it uses less digits than its factorization.

34035644250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108989 (or 108976 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34035644250 in words is "thirty-four billion, thirty-five million, six hundred forty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 139 150 225 250 278 375 417 450 695 750 834 1125 1251 1390 2085 2250 2502 3475 4170 6255 6950 10425 12510 17375 20850 31275 34750 52125 62550 104250 108827 156375 217654 312750 326481 544135 652962 979443 1088270 1632405 1958886 2720675 3264810 4897215 5441350 8162025 9794430 13603375 15126953 16324050 24486075 27206750 30253906 40810125 45380859 48972150 75634765 81620250 90761718 122430375 136142577 151269530 226904295 244860750 272285154 378173825 453808590 680712885 756347650 1134521475 1361425770 1890869125 2269042950 3403564425 3781738250 5672607375 6807128850 11345214750 17017822125 34035644250